When A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?

When A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?
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If A and B are multiples of C, then A + B is also a multiple ofC:If A is a multiple of C then A = mC for some integer mIf B is a multiple of C, then B = nC for some integer n→ A + B = mC + nC= (m + n)C= kC where k = m + n and is an integer→ A + B is a multiple of C
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If A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?

Description : If A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?

Last Answer : A + B is also a multiple of C.-------------------------------------------let k, m and n be integers. Then:A = nC as A is a multiple of CB = mC as B is a multiple of C→ A + B = nC + mC = (n + m)C = kC where k = n + mkC is a multiple of C.Thus A + B is a multiple of C.

When A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?

Description : When A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?

Last Answer : If A and B are multiples of C, then A + B is also a multiple ofC:If A is a multiple of C then A = mC for some integer mIf B is a multiple of C, then B = nC for some integer n→ A + B = mC + nC= (m + n)C= kC where k = m + n and is an integer→ A + B is a multiple of C

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